4n(5n-7n-3)=

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Solution for 4n(5n-7n-3)= equation:


Simplifying
4n(5n + -7n + -3) = 0

Reorder the terms:
4n(-3 + 5n + -7n) = 0

Combine like terms: 5n + -7n = -2n
4n(-3 + -2n) = 0
(-3 * 4n + -2n * 4n) = 0
(-12n + -8n2) = 0

Solving
-12n + -8n2 = 0

Solving for variable 'n'.

Factor out the Greatest Common Factor (GCF), '-4n'.
-4n(3 + 2n) = 0

Ignore the factor -4.

Subproblem 1

Set the factor 'n' equal to zero and attempt to solve: Simplifying n = 0 Solving n = 0 Move all terms containing n to the left, all other terms to the right. Simplifying n = 0

Subproblem 2

Set the factor '(3 + 2n)' equal to zero and attempt to solve: Simplifying 3 + 2n = 0 Solving 3 + 2n = 0 Move all terms containing n to the left, all other terms to the right. Add '-3' to each side of the equation. 3 + -3 + 2n = 0 + -3 Combine like terms: 3 + -3 = 0 0 + 2n = 0 + -3 2n = 0 + -3 Combine like terms: 0 + -3 = -3 2n = -3 Divide each side by '2'. n = -1.5 Simplifying n = -1.5

Solution

n = {0, -1.5}

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